1. Basic principle of nonlocalities.
2. Basic of fractional operators.
3. Definitions of fractal-fractional operators with numerical approximations.
4. Error analysis.
5. Existence and uniqueness of fractal fractional differential equations.
6. A numerical solution of fractal-fractional ODE with linear interpolation.
7. Numerical scheme of fractal-fractional ODE with middle point interpolation.
8. Fractal-Fractional Euler method.
9. Application of fractal-fractional operators to a chaotic model.
10. Fractal-fractional Modified Chua chaotic attractor.
11. Application of fractal-fractional operators to study a new chaotic model.
12. Fractal-fractional operators and their application to a chaotic system with sinusoidal component.
13. Application of fractal-fractional operators to four-scroll chaotic system.
14. Application of fractal-fractional operators to a novel chaotic model.
15. A 4D chaotic system under fractal-fractional operators.
16. Self-excited and hidden attractors through fractal-fractional operators.
17. Dynamical analysis of a chaotic model in fractal-fractional operators.
18. A chaotic cancer model in fractal-fractional operators.
19. A multiple chaotic attractor model under fractal-fractional operators.
20. The dynamics of multiple chaotic attractor with fractal-fractional operators.
21. Dynamics of 3D chaotic systems with fractal-fractional operators.
22. The hidden attractors model with fractal-fractional operators.
23. An SIR epidemic model with Fractal-fractional derivative.
24. Application of fractal-fractional operators to COVID-19 infection.